Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces

Hasanen A. Hammad, Praveen Agarwal and Juan L. G. Guirao
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Hasanen A. Hammad: Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
Praveen Agarwal: Department of Mathematics, Anand International College of Engineering, Jaipur 302012, India
Juan L. G. Guirao: Departamento de Matematica Aplicada y Estadistica, Universidad Politecnica de Cartagena, Hospital de Marina, 30203 Murcia, Spain

Mathematics, 2021, vol. 9, issue 16, 1-22

Abstract: In this manuscript, some tripled fixed point results were derived under ( ? , ? , ? ) -contraction in the framework of ordered partially metric spaces. Moreover, we furnish an example which supports our theorem. Furthermore, some results about a homotopy results are obtained. Finally, theoretical results are involved in some applications, such as finding the unique solution to the boundary value problems and homotopy theory.

Keywords: tripled fixed point; boundary value problem; homotopy theory; partially ordered metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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